# Exam3 - 57:020 Mechanics of Fluids and Transport Fall 2009...

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Unformatted text preview: 57:020 Mechanics of Fluids and Transport Fall 2009 Exam 3, December 14, 2009 1. Water flows through a circular nozzle, exits into the air as a jet, and strikes a plate as shown in Fig. 1. The force required to hold the plate steady is 70 N. Assuming steady, frictionless, one- dimensional flow, estimate (a) the velocity at sections (1) and (2) and (b) the mercury manometer reading h . (Water, ρ = 998 kg/m 3 ; Mercury, ρ = 13,600 kg/m 3 ) 2. Consider the inviscid, incompressible, steady flow along the horizontal streamline A – B in front of the sphere of radius a = 10 cm, as shown in Fig. 2. From a more advanced theory of flow past a sphere, the fluid velocity along this streamline is V = V (1+ a 3 / x 3 ) where V = 10 m/s. At x = -2 a , determine (a) the acceleration ܽ ௫ and (b) the pressure gradient dp / dx of the fluid. ( ρ = 1.23 kg/m 3 ; Euler equation ߩܽ ௫ ൌ െ ௗ௣ ௗ௫ ) Fig. 1 Fig. 2 3. In some locations with very “hard” water, a scale can build up on the walls of pipes to such an ex-...
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Exam3 - 57:020 Mechanics of Fluids and Transport Fall 2009...

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